Pith Number

pith:UUMJYAE4

pith:2013:UUMJYAE47HHBW5QAQFWPCNJ42C

not attested not anchored not stored refs pending

Volume comparison of conformally compact manifolds with scalar curvature $R\geq -n\left(n-1\right)$

Dandan Ji, Xue Hu, Yuguang Shi

arxiv:1309.5430 v2 · 2013-09-21 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UUMJYAE47HHBW5QAQFWPCNJ42C}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:50:13.356592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5189c009cf9ce1b7600816cf1353cd0bc0cf3ff88999f1f66894d7c7a4576bd

Aliases

arxiv: 1309.5430 · arxiv_version: 1309.5430v2 · doi: 10.48550/arxiv.1309.5430 · pith_short_12: UUMJYAE47HHB · pith_short_16: UUMJYAE47HHBW5QA · pith_short_8: UUMJYAE4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UUMJYAE47HHBW5QAQFWPCNJ42C \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a5189c009cf9ce1b7600816cf1353cd0bc0cf3ff88999f1f66894d7c7a4576bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3825155f92b2d79120a1b86389baa7561a44a4cb83c7164d4f05935b484b7ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-21T04:07:20Z",
    "title_canon_sha256": "bd78082c188d787eac2bb1a9fe03bbbe132ccce83a69ff65e3b21490493d5131"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5430",
    "kind": "arxiv",
    "version": 2
  }
}